Question

Write the value of $\textstyle\int\!{\frac{2-3\sin x}{\cos^{2}x}}\,d x$.

Let R={(a,a³): a is a prime number less than 5} be a relation. Find the range of R.

Write the differential equation obtained by eliminating the arbitrary constant C in the equation representing the family of curves xy = C cos x.

If a line has direction ratios 2, – 1, – 2, then what are its direction cosines ?

If matrix A = [1 2 3], then write AA’.

If the following function f(x) is continuous at x = 0, then write the value of k.

If f(x) = 27x³ and g(x) = $x^{1/3}$, then find gof(x).